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Simplifying 8p + 9 + -11 + -2p = -3(2p + 4) + -3(4p + -2) Reorder the terms: 9 + -11 + 8p + -2p = -3(2p + 4) + -3(4p + -2) Combine like terms: 9 + -11 = -2 -2 + 8p + -2p = -3(2p + 4) + -3(4p + -2) Combine like terms: 8p + -2p = 6p -2 + 6p = -3(2p + 4) + -3(4p + -2) Reorder the terms: -2 + 6p = -3(4 + 2p) + -3(4p + -2) -2 + 6p = (4 * -3 + 2p * -3) + -3(4p + -2) -2 + 6p = (-12 + -6p) + -3(4p + -2) Reorder the terms: -2 + 6p = -12 + -6p + -3(-2 + 4p) -2 + 6p = -12 + -6p + (-2 * -3 + 4p * -3) -2 + 6p = -12 + -6p + (6 + -12p) Reorder the terms: -2 + 6p = -12 + 6 + -6p + -12p Combine like terms: -12 + 6 = -6 -2 + 6p = -6 + -6p + -12p Combine like terms: -6p + -12p = -18p -2 + 6p = -6 + -18p Solving -2 + 6p = -6 + -18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18p' to each side of the equation. -2 + 6p + 18p = -6 + -18p + 18p Combine like terms: 6p + 18p = 24p -2 + 24p = -6 + -18p + 18p Combine like terms: -18p + 18p = 0 -2 + 24p = -6 + 0 -2 + 24p = -6 Add '2' to each side of the equation. -2 + 2 + 24p = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 24p = -6 + 2 24p = -6 + 2 Combine like terms: -6 + 2 = -4 24p = -4 Divide each side by '24'. p = -0.1666666667 Simplifying p = -0.1666666667
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